Email: alfonso (at-sign) math (dot) toronto (dot) edu
Office: 215 Huron St, Office 1023 (10th floor)
Phone: 416-946-3771
Mail address:
Mathematics Department, University of Toronto, 40 St George
St Room 6290, Toronto ON M5S 2E4, Canada.
PAPERS
Publications and preprints
A. Gracia-Saz and R. Mehta:
Lie algebroid structures on double vector bundles and representation theory of Lie algebroids.
To appear in Adv. Math. (2009) doi:10.1016/j.aim.2009.09.010
arXiv:0810.0066
.
A. Gracia-Saz and K. Mackenzie: Duality functors for triple vector bundles. Lett. Math. Phys. 90(1) (2009) 175-200. doi:10.1007/s11005-009-0346-z
arXiv:0901.0203
M. Cargo, A. Gracia-Saz, and
R. G. Littlejohn:
Multidimensional quantum normal forms, Moyal star product, and torus quantization. arXiv:math-ph/0507032
.
A. Gracia-Saz: The symbol of a function of an operator,
Ann. Inst. Fourier55 (2005) 2257-2284.
pdf
M. Cargo, A. Gracia-Saz,
R. G.
Littlejohn,
M. W. Reinsch and P. de M. Rios:
Quantum normal forms, Moyal star product and Bohr-Sommerfeld approximation,
J. Phys. A: Math. Gen38
(2005) 1977-2004.
pdf
In preparation
With K. Mackenzie: Duality functors for n-fold vector bundles.
With R. Mehta: VB-groupoids and representation theory of Lie groupoids.
With T. Holm and A. Latto: Dance of the astonished topologist.
I am a postdoctoral fellow with the symplectic geometry
group at the Mathematics
Department of the University of Toronto. My sponsors here are Lisa Jeffrey, Yael Karshon, Boris Khesin, and Eckhard Meinrenken.
I got my PhD from UC Berkeley
under the supervision of Alan Weinstein in
2006, and then I spent a year at Keio
University with Yoshiaki
Maeda.